The steps to find the equation are as follow: 1. Find the slope 2. Plug the slope into the general equation, y = mx + c 3. Find the y-intercept 4. Plug the y-intercept into the equation we created in step 2 And that will give us the equation of the line
------------------------------------------- Find the slope ------------------------------------------- x - 3y = 6 ←Rearrange the equation to matches the format y = mx + c
3y = x - 6 ←divide by 3 through ÷3 ÷3 ÷3
y =1/3x - 2
Sope = 1/3
Slope of the perpendicular line = - 3 (negative reciprocal)
-------------------------------------------------------------------------------------- Plug in the value of the slope into the general equation y = mx + c -------------------------------------------------------------------------------------- y = mx + c y = -3x + c
-------------------------------------------------------------------------------------- Find the y-intercept -------------------------------------------------------------------------------------- y = -3x + c
At coordinate (-2, -7)
-7 = 3(-2) + c ←substitute x = -2 and y = -7
-7 = -6 + c ← add 6 to both side +6 +6
c = -1
-------------------------------------------------------------------------------------- Plug the value of the y-intercept into the equation y = -3x + c -------------------------------------------------------------------------------------- y = -3x + c y = -3x -1
-------------------------------------------------------------------------------------- Answer: y = -3x - 1 --------------------------------------------------------------------------------------
I think its 206 because you'll have to change 5% into a decimal and you'll get 0.05 because you move the decimal place to the left 2 times. Then multiply 2,600 to 0.05 to get what the population decreasing for a year, (130) then multiply is by 2 (for 2 years) and you'll get 260 students. -Have fun in math :/